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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

Results (15 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs			Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	7	11
1232.4.a.a	$1232$	$4$	1232.a	1.a	$1$	$1$	$1$	$72.690$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-9\)	\(15\)	\(7\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-9q^{3}+15q^{5}+7q^{7}+54q^{9}-11q^{11}+\cdots\)
1232.4.a.c	$1232$	$4$	1232.a	1.a	$1$	$1$	$1$	$72.690$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-4\)	\(-12\)	\(-7\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{3}-12q^{5}-7q^{7}-11q^{9}-11q^{11}+\cdots\)
1232.4.a.d	$1232$	$4$	1232.a	1.a	$1$	$1$	$1$	$72.690$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-4\)	\(12\)	\(-7\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{3}+12q^{5}-7q^{7}-11q^{9}-11q^{11}+\cdots\)
1232.4.a.g	$1232$	$4$	1232.a	1.a	$1$	$1$	$1$	$72.690$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(5\)	\(-1\)	\(7\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+5q^{3}-q^{5}+7q^{7}-2q^{9}+11q^{11}+\cdots\)
1232.4.a.h	$1232$	$4$	1232.a	1.a	$1$	$1$	$1$	$72.690$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(7\)	\(-1\)	\(-7\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+7q^{3}-q^{5}-7q^{7}+22q^{9}-11q^{11}+\cdots\)
1232.4.a.j	$1232$	$4$	1232.a	1.a	$1$	$2$	$2$	$72.690$	\(\Q(\sqrt{37}) \)	None	✓	$1$	$1$	\(0\)	\(-6\)	\(26\)	\(-14\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-3-\beta )q^{3}+(13-\beta )q^{5}-7q^{7}+\cdots\)
1232.4.a.k	$1232$	$4$	1232.a	1.a	$1$	$2$	$2$	$72.690$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(-8\)	\(14\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1+3\beta )q^{3}+(-4+2\beta )q^{5}+7q^{7}+\cdots\)
1232.4.a.n	$1232$	$4$	1232.a	1.a	$1$	$2$	$2$	$72.690$	\(\Q(\sqrt{37}) \)	None	✓	$1$	$1$	\(0\)	\(4\)	\(0\)	\(14\)		$+$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+2q^{3}-\beta q^{5}+7q^{7}-23q^{9}-11q^{11}+\cdots\)
1232.4.a.o	$1232$	$4$	1232.a	1.a	$1$	$2$	$2$	$72.690$	\(\Q(\sqrt{57}) \)	None	✓	$1$	$1$	\(0\)	\(5\)	\(-17\)	\(14\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(3-\beta )q^{3}+(-7-3\beta )q^{5}+7q^{7}+\cdots\)
1232.4.a.r	$1232$	$4$	1232.a	1.a	$1$	$3$	$3$	$72.690$	3.3.5925.1	None	✓	$1$	$1$	\(0\)	\(-5\)	\(9\)	\(21\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-2+\beta _{1})q^{3}+(2+3\beta _{1})q^{5}+7q^{7}+\cdots\)
1232.4.a.s	$1232$	$4$	1232.a	1.a	$1$	$4$	$4$	$72.690$	4.4.522072.1	None	✓	$1$	$1$	\(0\)	\(-14\)	\(10\)	\(28\)		$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(-4-\beta _{2})q^{3}+(4-\beta _{1}+2\beta _{2})q^{5}+\cdots\)
1232.4.a.t	$1232$	$4$	1232.a	1.a	$1$	$4$	$4$	$72.690$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(-19\)	\(28\)		$+$	$-$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(-5-\beta _{2})q^{5}+7q^{7}+\cdots\)
1232.4.a.y	$1232$	$4$	1232.a	1.a	$1$	$5$	$5$	$72.690$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-24\)	\(-35\)		$-$	$+$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+(-4+\beta _{2}+\beta _{3})q^{5}-7q^{7}+\cdots\)
1232.4.a.ba	$1232$	$4$	1232.a	1.a	$1$	$6$	$6$	$72.690$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-14\)	\(-42\)		$+$	$+$	$-$	$-$	$2^{6}$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}+(-2-\beta _{3})q^{5}-7q^{7}+(4+\cdots)q^{9}+\cdots\)
1232.4.a.bb	$1232$	$4$	1232.a	1.a	$1$	$6$	$6$	$72.690$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(-42\)		$+$	$+$	$-$	$-$	$2^{6}\cdot 5$	$\mathrm{SU}(2)$	\(q-\beta _{4}q^{3}+(-\beta _{2}+\beta _{4})q^{5}-7q^{7}+(11+\cdots)q^{9}+\cdots\)